Within the cartoon, Mr Bezos, Meta founder Mark Zuckerberg and OpenAI’s Sam Altman are depicted on their knees giving luggage of money to a statue of Trump.
Mickey Mouse is additionally depicted prostrate within the cartoon. ABC Information – which is owned by Disney – final month agreed to pay $15m to settle a defamation lawsuit filed by Trump.
Ms Telnaes introduced her resignation in a Substack publish on Friday, saying she had labored for the newspaper since 2008.
“In all that point I’ve by no means had a cartoon killed as a result of of who or what I selected to purpose my pen at,” she wrote. “Till now.
“The cartoon that was killed criticizes the billionaire tech and media chief executives who’ve been doing their greatest to curry favor with incoming President-elect Trump.”
She mentioned the cartoon was satirising “these males with profitable authorities contracts and an curiosity in eliminating laws”.
However Mr Shipley advised the BBC his choice to not publish the cartoon was as a result of of repetition of one other piece set to publish.
“I respect Ann Telnaes and all she has given to The Post. However I have to disagree together with her interpretation of occasions,” he mentioned in an announcement. “Not each editorial judgment is a mirrored image of a malign pressure.”
He added: “My choice was guided by the truth that we had simply revealed a column on the identical matter because the cartoon and had already scheduled one other column – this one a satire – for publication.”
This is not the primary time one of Ms Telnaes’ cartoons has been spiked by the Washington Post.
In 2015, the newspaper retracted one of her sketches that depicted the younger daughters of Texas Senator Ted Cruz as monkeys.
Explaining its choice on the time, the newspaper mentioned its editorial coverage was to go away kids “out of it”.
Final month, Mr Bezos introduced Amazon would donate $1m to Trump’s inauguration fund and make a $1m in-kind contribution.
Mr Bezos additionally described Trump’s re-election victory as “a rare political comeback” and dined with him on the president-elect’s Mar-a-Lago residence in Florida.
The newspaper confronted a liberal backlash weeks earlier than the November presidential election after Mr Bezos interceded to forestall the editorial board endorsing Vice-President Kamala Harris.
Mr Bezos defended the transfer, however the newspaper reported it misplaced greater than 250,000 subscribers following the choice.
The Los Angeles Occasions, whose proprietor Patrick Quickly-Shiong is additionally depicted within the now-killed cartoon, made the same transfer and mentioned the newspaper wouldn’t publish its endorsement of Harris in October.